Final answer:
To solve the system of equations -5x+3y=-8 and 3x-7y=-3, we can use the elimination method. The solution to the system of equations is x=2.5 and y=1.5.
Step-by-step explanation:
To solve the system of equations -5x+3y=-8 and 3x-7y=-3, we can use any of the methods for solving systems of equations, such as substitution or elimination. Let's solve it using the elimination method:
- Multiply the first equation by 3 and the second equation by 5 to eliminate the x terms: -15x+9y=-24 and 15x-35y=-15.
- Add the two equations together: -15x+9y+15x-35y=-24-15.
- Simplify and solve for y: -26y=-39. y=39/26 or approximately 1.5.
- Substitute y=1.5 back into either of the original equations and solve for x: -5x+3(1.5)=-8. -5x+4.5=-8. -5x=-12.5. x=12.5/5 or approximately 2.5.
Therefore, the solution to the system of equations is x=2.5 and y=1.5.
The complete question is: sollve each system of equations -5x+3y=-8 3x-7y=-3 is: